# Development of mathematical models for evaluating child occupant impact dynamics and intrusions of the vehicle structure

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

## Abstract

Two mathematical models are developed and analyzed in this paper to predict the dynamic response in vehicle crashes. The first model is developed to capture the front-end intrusion of the vehicle structure in frontal collision. The second model is proposed to define the interaction between the child occupant and vehicle passenger compartment and to predict the acceleration injuries during a sudden impulse load. In these mathematical models, the bumper and vehicle body are defined by lumped masses and longitudinal rails of the front-end structure are defined by plastic springs. Moreover, the child occupants are considered as lumped masses, connected to the child seat and vehicle body masses by means of restraint systems. The occupant restraint characteristics of seat belt are represented by stiffness and damping elements. To obtain the dynamic response of the occupant, the equations of motion of the vehicle impact system in both full and offset scenarios are developed and analytically solved using Incremental Harmonic Balance Method (IHBM). The injury criteria, child's acceleration and vehicle's font-end deformation, are used to interpret the results. It is demonstrated from the simulations that the dynamic response and injury criteria are easily captured and analyzed. It is also shown that the mathematical models are flexible, useful in optimization studies and it can be used at initial design stage.

Original language English 2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 Transportation Systems American Society of Mechanical Engineers (ASME) 61-69 9 17 9780791838402 9780791848784 https://doi.org/10.1115/IMECE2008-67169 Published - 18 Sept 2009 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United StatesDuration: 31 Oct 2008 → 6 Nov 2008

### Conference

Conference 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 United States Boston, MA 31/10/08 → 6/11/08

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